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Finding the Fourth Proportional to 7,803.08, 11,704.44 and 3,904.64

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Solution

The fourth proportional to 7,803.08, 11,704.44 and 3,904.64 is: 5,856.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.08 : 11,704.44 = 3,904.64 : x
  2. Step 2: Convert to fraction form
    7,803.08/11,704.44 = 3,904.64/x
  3. Step 3: Cross multiply
    7,803.08x = 11,704.44 × 3,904.64
  4. Step 4: Simplify right side
    7,803.08x = 45,701,624.60
  5. Step 5: Solve for x
    x = 45,701,624.60/7,803.08
  6. Step 6: Final answer
    x = 5,856.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.